Command coordination in multi-agent formation: euclidean distance matrix approaches

ICCAS 2010 - International Conference on Control, Automation and Systems

Volumn , Issue , 2010, Pages 1592-1597

  Ahn, Hyo Sung ^a   Oh, Kwang Kyo ^a  

^a Gwangju Institute of Science and Technology (GIST)   (South Korea)

Author keywords

Command coordination; Euclidean distance matrix; Interval; Multi agent formation

Indexed keywords

COMMAND COORDINATION; DISTANCE MATRICES; EUCLIDEAN DISTANCE MATRICES; EUCLIDEAN DISTANCE MATRIX APPROACH; EUCLIDEAN DISTANCE MATRIXES; FORMATION SYSTEMS; INTERVAL; INTERVAL MATRIX; MEASUREMENT UNCERTAINTY; MULTI-AGENT; MULTI-AGENT COORDINATIONS; POTENTIAL UTILITY; REALIZATION PROBLEMS;

UNCERTAINTY ANALYSIS;

MULTI AGENT SYSTEMS;

EID: 78751485165     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. J. P. Desai, J. Ostrowski, and V. Kumar, "Controlling formations of multiple mobile robots," in Proc. of IEEE Int. Conf. on Robotics and Automation, Dec. 1998, pp. 2864-2869.
2. W. Kang, N. Xi, and A Sparks, "Formation control of autonomous agents in 3D workspace," in Proc. the IEEE International Conference on Robotics and Automation, San Francisco, CA, 2000, pp. 1755 - 1760.
3. T. Keviczky, F. Borrelli, K. Fregene, D. Godbole, and G. J. Balas, "Decentralized receding horizon control and coordination of autonomous vehicle formations," IEEE Transactions on Control Systems Technology, vol. 16, pp. 19-33, 2008.
4. Peng Yang, R. A. Freeman, and K. M. Lynch, "Multiagent coordination by decentralized estimation and control," IEEE Transactions on Automatic Control, vol. 53, pp. 2480-2496, 2009.
5. Wenjie Dong and J. A. Farrell, "Cooperative control of multiple nonholonomic mobile agents," IEEE Transactions on Automatic Control, vol. 53, pp. 1434-1448, 2008.
6. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: Algorithms and theory," IEEE Transactions on Automatic Control, vol. 51, pp. 401-420, 2006.
7. Wei Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control," IEEE Control Systems Magazine, vol. 2, pp. 71-82, 2007.
8. M. Defoort, T. Floquet, A. Kokosy, and W. Perruquetti, "Sliding-mode formation control for cooperative autonomous mobile robots," IEEE Transactions on Industrial Electronics, vol. 55, pp. 3944-3953, 2008.
9. B. D. O. Anderson, S. Dasgupta, and Changbin Yu, "Control of directed formations with a leader-first follower structure," in Proc. the 46th IEEE Conference on Decision and Control, Dec. 2007, pp. 2882-2887.
10. D. V. Dimarogonas and K. H. Johansson, "On the stability of distance-based formation control," in Proc. the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec. 2008, pp. 1200-1205.
11. M. Cao, B. D. O. Anderson, A. S. Morse, and C. Yu, "Control of acyclic formations of mobile autonomous agents," in Proc. the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec. 2008, pp. 1187-1192.
12. D. V. Dimarogonas and K. H. Johansson, "Further results on the stability of distance-based multi-robot formations," in Proc. the American Control Conference, June 2009, pp. 2972-2977.
13. R. Olfati-Saber and R. M. Murray, "Graph rigidity and distributed formation stabilization of multi-vehicle systems," in Proc. the 41st IEEE Conference on Decision and Control, Dec. 2002, pp. 2965-2971.
14. Brian D. O. Anderson, Changbin Yu, Baris Fidan, and Julien M. Hendrickx, "Rigid graph control architectures for autonomous formations," IEEE Control Systems Magazine, 2008.
15. L. Krick, M. E. Broucke, and B. A. Francis, "Stabilization of infinitesimally rigid formations of multi-robot networks," in Proc. the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec. 2008, pp. 477-482.
16. Hyo-Sung Ahn, "A note on interval Euclidean distance matrices," Submitted to Linear Algebra and Its Applications, 2009.
17. Mihaly Bakonyi and Charles R. Johnson, "The Euclidean distance matrix completion problem," SIAM J. Matrix Anal. Appl., vol. 16, pp. 646-654, 1995.
18. Monique Laurent, "Matrix completion problems," in The Encyclopedia of Optimization (Eds. by C. A. Floudas and P. M. Pardalos). Kluwer Academic Publisher, 2001, pp. 221-229.
19. Bruce Hendrickson, "Conditions for unique graph realizations," SIAM Journal on Computing, vol. 21, pp. 65-84, 1992.
20. G. Laman, "On graphs and rigidity of plane skeletal structures," J. Eng. Math., vol. 4, pp. 331-340, 1970.
21. Hyo-Sung Ahn, "Formation coordination for self-mobile localization: Framework," in Proc. of the IEEE Int. Symposium on Computational Intelligence in Robotics and Automation, Daejeon, Korea, Dec. 15-18 2009, pp. 340-348.
22. Abdo Y. Alfakih, "On the uniqueness of Euclidean distance matrix completions," Linear Algebra and Its Applications, vol. 370, pp. 1-14, 2003.
23. Julien M. Hendrickx, Brian D. O. Anderson, Jean-Charles Delvenne, and Vincent D. Blondel, "Directed graphs for the analysis of rigidity and persistence in autonomous agent systems," Int. J. Robust and Nonlinear Control, vol. 17, pp. 960-981, 2007.